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Finding the Third Proportional to 72,304 and 111,336

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Solution

The third proportional to 72,304 and 111,336 is: 171,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,304 : 111,336 = 111,336 : x
  2. Step 2: Convert to fraction form
    72,304/111,336 = 111,336/x
  3. Step 3: Cross multiply
    72,304x = 111,336 × 111,336
  4. Step 4: Simplify right side
    72,304x = 12,395,704,896
  5. Step 5: Solve for x
    x = 12,395,704,896/72,304
  6. Step 6: Final answer
    x = 171,438.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.